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424135120 = 2455301689
BaseRepresentation
bin11001010001111…
…100100111010000
31002120002022000011
4121101330213100
51332034310440
6110030404304
713340042353
oct3121744720
91076068004
10424135120
111a845aaa2
12ba060694
1369b41c36
144048829a
152737e9ea
hex1947c9d0

424135120 has 20 divisors (see below), whose sum is σ = 986114340. Its totient is φ = 169654016.

The previous prime is 424135093. The next prime is 424135123. The reversal of 424135120 is 21531424.

It can be written as a sum of positive squares in 2 ways, for example, as 249260944 + 174874176 = 15788^2 + 13224^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 424135091 and 424135100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424135123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2650765 + ... + 2650924.

It is an arithmetic number, because the mean of its divisors is an integer number (49305717).

Almost surely, 2424135120 is an apocalyptic number.

424135120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424135120 is an abundant number, since it is smaller than the sum of its proper divisors (561979220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424135120 is a wasteful number, since it uses less digits than its factorization.

424135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5301702 (or 5301696 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 424135120 is about 20594.5410242617. The cubic root of 424135120 is about 751.3369457224.

Adding to 424135120 its reverse (21531424), we get a palindrome (445666544).

The spelling of 424135120 in words is "four hundred twenty-four million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5301689 10603378 21206756 26508445 42413512 53016890 84827024 106033780 212067560 424135120